276414080 has 128 divisors (see below), whose sum is σ = 698965200. Its totient is φ = 104366080.

The previous prime is 276414007. The next prime is 276414091. The reversal of 276414080 is 80414672.

It can be written as a sum of positive squares in 8 ways, for example, as 177848896 + 98565184 = 13336^2 + 9928^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983540 + ... + 983820.

Almost surely, 2^276414080 is an apocalyptic number.

276414080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349482600).

276414080 is an abundant number, since it is smaller than the sum of its proper divisors (422551120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

276414080 is a wasteful number, since it uses less digits than its factorization.

276414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 276414080 is about 16625.7053985688. The cubic root of 276414080 is about 651.4084488647.

The spelling of 276414080 in words is "two hundred seventy-six million, four hundred fourteen thousand, eighty".